Integral Control of Oseen Flows With Mixed Boundary Conditions

Abstract

In this paper, we consider set-point output tracking for the Oseen linearisation of the incompressible Navier-Stokes equations around a stable equilibrium. We study the 2-D cylinder wake fluid model at low Reynolds numbers with boundary input and output, a model with mixed boundary conditions. We show that an integral controller tracks constant reference signals and rejects constant input disturbances. We illustrate the results using numerical simulations. These findings are a first step towards local output regulation of nonlinear flows.